Finding the Third Proportional to 147,442 and 222,384

Step by Step Solution

1. Step 1: Write the proportion equation
   147,442 : 222,384 = 222,384 : x
2. Step 2: Convert to fraction form
   147,442/222,384 = 222,384/x
3. Step 3: Cross multiply
   147,442x = 222,384 × 222,384
4. Step 4: Simplify right side
   147,442x = 49,454,643,456
5. Step 5: Solve for x
   x = 49,454,643,456/147,442
6. Step 6: Final answer
   x = 335,417.61